Commutative algebra Domains and factorization Concept
Unique factorisation domain
Summary
A unique factorisation domain is an integral domain in which every nonzero nonunit is a product of irreducible elements, in an essentially unique way. The fundamental theorem of arithmetic says that is one. The definition of a unique factorisation domain gives the conditions.
Where this leads
5 pages build on this one.
Further reading
About this page
| Tag | 0W4X9G6263 |
|---|---|
| URI | m2://0W4X9G6263 |
| Aliases | unique-factorization-domain, ufd, factorial-ring |
| Kind | concept |
| Writing | W1 stated |
| MSC | 13F15 |
| Specializes | Integral domain |
| Same as |
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What this page needs for W2
- edge instance_of in: at least two examples (0 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
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